The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
162.56 cm
Step-by-step explanation:
also you can use a conversion calculator for faster results too
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Answer:
2½ h
Step-by-step explanation:
Assume the graph is like the one below.
The graph shows how Erin's distance varies with time.
To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.
From there, draw a horizontal line until it hits the graph.
Then drop a vertical line to the horizontal axis.
It hits half-way between 2 and 3.
It takes Erin 2½ h to run 25 mi.
Answer:
A, C, F
Step-by-step explanation:
JK is proportional to PQ, so that would be 8/x. Then, JL is proportional to PR, which would be 10/5. So, the answer is: 8/x = 10/5
Then, C would also be correct as KL is proportional to QR, and JK is proportional to PQ.
Finally, F is correct as JK to KL is proportional to PQ to QR, as JK is proportional to PQ, and KL is proportional to QR.
To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:
cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85